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874243328 = 2874173163
BaseRepresentation
bin110100000110111…
…110010100000000
32020221001011101112
4310012332110000
53242301241303
6222430022452
730443642240
oct6406762400
92227034345
10874243328
1140953aa52
12204947a28
1310c178c5a
1484173b20
1551b400d8
hex341be500

874243328 has 144 divisors (see below), whose sum is σ = 2083702656. Its totient is φ = 358318080.

The previous prime is 874243327. The next prime is 874243373. The reversal of 874243328 is 823342478.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874243327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5363375 + ... + 5363537.

Almost surely, 2874243328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041851328).

874243328 is an abundant number, since it is smaller than the sum of its proper divisors (1209459328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

874243328 is a wasteful number, since it uses less digits than its factorization.

874243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its digits is 258048, while the sum is 41.

The square root of 874243328 is about 29567.6060579818. The cubic root of 874243328 is about 956.1898049283.

The spelling of 874243328 in words is "eight hundred seventy-four million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 73 82 112 128 146 163 164 224 256 287 292 326 328 448 511 574 584 652 656 896 1022 1141 1148 1168 1304 1312 1792 2044 2282 2296 2336 2608 2624 2993 4088 4564 4592 4672 5216 5248 5986 6683 8176 9128 9184 9344 10432 10496 11899 11972 13366 16352 18256 18368 18688 20864 20951 23798 23944 26732 32704 36512 36736 41728 41902 46781 47596 47888 53464 65408 73024 73472 83293 83804 93562 95192 95776 106928 130816 146048 166586 167608 187124 190384 191552 213856 292096 333172 335216 374248 380768 383104 427712 487859 666344 670432 748496 761536 766208 855424 975718 1332688 1340864 1496992 1523072 1710848 1951436 2665376 2681728 2993984 3046144 3415013 3902872 5330752 5363456 5987968 6830026 7805744 10661504 11975936 13660052 15611488 21323008 27320104 31222976 54640208 62445952 109280416 124891904 218560832 437121664 874243328